Two long, parallel wires hang by 4.00-cm-long cords from a common axis (see the

Question

Two long, parallel wires hang by 4.00-cm-long cords from a common axis (see the figure (Figure 1) ). The wires have a mass per unit length of 1.40×102 kg/m and carry the same current in opposite directions.

Part A

What is the current in each wire if the cords hang at an angle of 6.00 with the vertical?

Two long, parallel wires hang by 4.00-cm-long cords from a common axis (see the figure (Figure 1) ). The wires have a mass per unit length of 1.40×102 kg/m and carry the same current in opposite directions.

Part A

What is the current in each wire if the cords hang at an angle of 6.00 with the vertical?

Explanation / Answer

Here ,

let the current in each wire is I

Now for the magnetic force and weight of the wire

tan(6 degeee) = magnetic force/mg

tan(6 degree) = 4pi *10^-7 * I^2/(2 * pi *2 * 0.04 * sin(6 degree) * 1.4 *10^-2 * 9.8)

solving for I

I = 24.5 A

the current in each wire is 24.5 A

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